13457763840 has 160 divisors (see below), whose sum is σ = 45287637120. Its totient is φ = 3399819264.

The previous prime is 13457763833. The next prime is 13457763871. The reversal of 13457763840 is 4836775431.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×13457763840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13457763840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99807 + ... + 192033.

It is an arithmetic number, because the mean of its divisors is an integer number (283047732).

Almost surely, 2^13457763840 is an apocalyptic number.

13457763840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13457763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643818560).

13457763840 is an abundant number, since it is smaller than the sum of its proper divisors (31829873280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13457763840 is an equidigital number, since it uses as much as digits as its factorization.

13457763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92272 (or 92256 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 13457763840 in words is "thirteen billion, four hundred fifty-seven million, seven hundred sixty-three thousand, eight hundred forty".